OFFSET
1,4
COMMENTS
The polynomial p(n,x) is the numerator of the rational function given by f(n,x) = n - 1 + x/f(n-1,x), where f(n,1) = 1.
LINKS
Clark Kimberling, Table of n, a(n) for n = 1..2600
EXAMPLE
f(1,x) = 1/1, so that p(1,x) = 1
f(2,x) = (1 + x)/1, so that p(2,x) = 1 + x;
f(3,x) = (2 + 3 x)/(1 + x), so that p(3,x) = 2 + 3 x.
First 7 rows of the triangle of coefficients:
1
1 1
2 3
6 10 1
24 42 7
120 216 45 1
720 1320 312 13
MATHEMATICA
CROSSREFS
KEYWORD
nonn,tabf,easy
AUTHOR
Clark Kimberling, Oct 24 2014
STATUS
approved